A calibration system and perturbation analysis for the Modulated Wideband Converter

A calibration system is proposed in this paper for the Modulated Wideband Converter (MWC), which is an efficient sampling system for the sparse multiband signals. The proposed calibration system has the ability to acquire actual measurement matrix and is achievable both in its structure and in its computational complexity. The perturbation performance of the MWC is also analyzed, and it is proved that under some rational assumptions, the relative error of the multiband signal recovered by the MWC is limited by the noise level in the observation and the extended singular value of the perturbation to the measurement matrix.